An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 Hz for various lengths. Which one of the following lengths is not possible? ( V =

Question

An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 Hz for various lengths. Which one of the following lengths is not possible? ( V = 330 m / s )

TestHub · Accepted Answer

n = 264 Hz , V = 300 m / s For fundamental frequency, n = 4 ℓ V ​ ℓ = 4 n V ​ = 4 × 264 330 ​ = 0.3125 n = 31.25 cm For fundamental mode, ℓ = 4 λ ​ other possible lengths are 4 3 λ ​ , 4 5 λ ​ , …… Hence, 62.50 m is not possible.

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